Question

each time a touchdown is scored at a football game 6 points are added to the score of the scoring team. a team already has 12 points what rule represents the number of points as an arithmetic sequence when n is the number of touchdowns scored a. A(n)=12+6n b.A(n)12-(n-1)6 c.A(n)=12+(n-1) d.A(n)=12+(n-6)

Answer 1

If the team already had 12 points and it gains points for a touch down you know that both have to be positive. if a team scores 2 touchdowns then this is multiplied by 6 and added to 12 so it has to be 6 multiplied by the number of touchdowns.
so A(n) = 12 + 6n